{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:38:09Z","timestamp":1753886289554,"version":"3.41.2"},"reference-count":23,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,3,20]],"date-time":"2012-03-20T00:00:00Z","timestamp":1332201600000},"content-version":"vor","delay-in-days":79,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"],"award-info":[{"award-number":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"],"award-info":[{"award-number":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004775","name":"Natural Science Foundation of Gansu Province","doi-asserted-by":"publisher","award":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"],"award-info":[{"award-number":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"]}],"id":[{"id":"10.13039\/501100004775","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Gansu University","award":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"],"award-info":[{"award-number":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"]}]},{"DOI":"10.13039\/100010726","name":"Northwest Normal University","doi-asserted-by":"crossref","award":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"],"award-info":[{"award-number":["11101334","11061031","096RJZA118","NWNU-KJCXGC-03-47"]}],"id":[{"id":"10.13039\/100010726","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>In this paper, we consider a cross\u2010diffusion predator\u2010prey model with sex structure. We prove that cross\u2010diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction\u2010diffusion system. As a result, we find that stationary patterns arise solely from the effect of cross\u2010diffusion.<\/jats:p>","DOI":"10.1155\/2012\/240432","type":"journal-article","created":{"date-parts":[[2012,3,22]],"date-time":"2012-03-22T15:09:40Z","timestamp":1332428980000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Instability Induced by Cross\u2010Diffusion in a Predator\u2010Prey Model with Sex Structure"],"prefix":"10.1155","volume":"2012","author":[{"given":"Shengmao","family":"Fu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lina","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,3,20]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"79","article-title":"The prey-predator model with sex-structure,","volume":"20","author":"Liu H.","year":"2005","journal-title":"Journal of Biomathematics"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.05.001"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/4500"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.02.005"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/1941368"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01048129"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1890\/0012-9658(1998)079[0226:DMOSOV]2.0.CO;2"},{"key":"e_1_2_9_8_2","first-page":"12","article-title":"Analysis of a diffusive predator-prey model with sex-structure","volume":"9","author":"Liu J.","year":"2006","journal-title":"Journal of Yangzhou University (Natural Science Edition)"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3800(01)00255-1"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2003.08.003"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2003.11.015"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2003.9.1049"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2010.08.029"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1137\/070684173"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.01.004"},{"volume-title":"Nonlinear Equations of Elliptic Type","year":"2010","author":"Wang M.","key":"e_1_2_9_16_2"},{"volume-title":"Nonlinear Partial Differential Equations of Parabolic Type","year":"1993","author":"Wang M.","key":"e_1_2_9_17_2"},{"volume-title":"Geometic Theory of Semilinear Parabolic Equations","year":"1993","author":"Henry D.","key":"e_1_2_9_18_2"},{"key":"e_1_2_9_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2004.02.022"},{"key":"e_1_2_9_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(88)90147-7"},{"key":"e_1_2_9_21_2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.0157"},{"key":"e_1_2_9_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-5193(79)90258-3"},{"key":"e_1_2_9_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2007.08.008"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/240432.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/240432.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/240432","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:06:19Z","timestamp":1718089579000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/240432"}},"subtitle":[],"editor":[{"given":"Junjie","family":"Wei","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/240432"],"URL":"https:\/\/doi.org\/10.1155\/2012\/240432","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2011-07-26","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-01-15","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-20","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"240432"}}